Journal of Applied Mathematics and Stochastic Analysis
Volume 2006 (2006), Article ID 69068, 13 pages

Effective utilization of idle time in an (s,S) inventory with positive service tim

A. Krishnamoorthy,1 T. G. Deepak,2 Viswanath C. Narayanan,3 and K. Vineetha4

1Department of Mathematics, Cochin University of Science and Technology, Kochi 682022, India
2Government Polytechnic College, Chelad, Kothamangalam 686681, India
3Department of Mathematics, Government Engineering College, Sreekrishnapuram, Palakkad 679513, India
4Department of Statistics, University of Calicut, Kerala 673635, India

Received 12 December 2005; Revised 18 May 2006; Accepted 18 May 2006

Copyright © 2006 A. Krishnamoorthy et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


We deviate from the Berman et al. models in inventory with positive service time. We establish a necessary and sufficient condition for system stability. Several performance measures are computed. An optimisation problem is discussed. Our analysis suggests that it is optimal to place the replenishment order when the inventory level is positive (even in the zero lead time case). Numerical illustrations are provided.